Do you find it difficult to solve mathematical equations? While most of us probably won’t be able to solve complicated mathematical problems, simple ones like “what times what equals 44” are quite easy to solve. In this article, we’ll solve the mystery behind the equation and explain how to find the answer using different methods.

## What’s the Basic Approach to Solving Equations?

If you’re not used to solving mathematical equations, you might find them intimidating at first. But equations follow a few basic rules, which makes solving them easier. Mathematically, solving an equation means finding its roots, which is the value or values of the unknown that makes the equation true. The basic approach to solving equations is to keep both sides of the equals sign balanced.

### What is an Equation?

An equation is a mathematical statement that two expressions are equal, with at least one unknown value. We use equations to solve problems that involve unknown quantities. Equations can be written in various forms, but the most common form is the linear equation. Linear equations are equations whose graph forms a straight line. Understanding linear equations is essential in solving simple mathematical problems like “what times what equals 44”.

### What is a Multiplication Equation?

A multiplication equation is an equation that involves multiplying two or more numbers or variables. Multiplication equations come in different forms, but the most basic form is when two numbers are being multiplied to give a product. The product is the answer to the equation. Multiplication equations are used when we want to find the value of the unknown that produces the given product.

### What is the General Technique to Solve a Multiplication Equation?

The general technique to solve a multiplication equation involves finding the value of the unknown that satisfies the equation. To solve a multiplication equation, we need to divide both sides of the equation by one of the factors. For example, if the equation is 5 x N = 20, we divide both sides by 5 to get N = 4. This means that 4 times 5 equals 20, and the value of the unknown (N) is 4.

## How to Solve “What Times What Equals 44”?

Let’s look at the basic approach to solve the equation “what times what equals 44”. We can write the equation in the general multiplication form as:

X * Y = 44

Here, X and Y are the factors that must be multiplied to give the product 44. To solve for X and Y, we need to find the pair of numbers whose product is 44. One way to do this is to list all the factors of 44 and look for the pair of factors.

### What are Factors?

In mathematics, factors are the numbers that can be multiplied together to get another number. For instance, the factors of 12 are 1, 2, 3, 4, 6, and 12. Factors can be determined by long division or through prime factorization. Factoring is important in solving mathematical problems that involve multiplication, division, addition or subtraction. In this case, we’ll use factoring to solve the equation “what times what equals 44”.

### Listing Factors

We can list all the factors of 44 in ascending order:

1 | 2 | 4 | 11 | 22 | 44 |

Now we need to determine which pair of these factors gives us the answer 44. We can start by trying pairs of factors that are close to each other.

- 1 x 44 = 44
- 2 x 22 = 44
- 4 x 11 = 44

Out of these, the pair of factors that gives us 44 is 4 x 11. Therefore, the answer is:

4 * 11 = 44

We have found the values of X and Y. So, the equation “what times what equals 44” is solved.

## What if There are Negative Numbers?

The above method works well if we’re only dealing with positive numbers. But what if we include negative numbers? For instance, we could ask the question “what times what equals -44?”.

To solve an equation where one or both of the factors are negative, we need to remember a basic rule: the product of two negative numbers is a positive number. For example, -3 x -4 is equal to 12.

### Solving “What Times What is Equal to -44?”

If we want to solve “what times what is equal to -44”, we need to consider the factors of both 44 and -44. The factors of 44 are 1, 2, 4, 11, 22, and 44. The factors of -44 are -1, -2, -4, -11, -22, and -44.

So, we have to find the pair of numbers among these factors that gives us the product -44. Upon doing so, we obtain the values of X and Y as:

X | Y |

-4 | 11 |

4 | -11 |

-1 | 44 |

1 | -44 |

Hence, we have two sets of solutions i.e (-4, 11) and (4, -11).

## What are the Factors of 44?

As we have already discussed, factors are the numbers that can be multiplied together to get another number. The factors of a number are essential in solving multiplication equations. The factors of 44 are 1, 2, 4, 11, 22, and 44.

### How to Find the Factors of a Number?

The easiest way to find the factors of a number is by listing all the possible combinations of two numbers whose product equals the given number. For example, if we want to find the factors of 12, we list all possible pairs such as 1 x 12, 2 x 6, and 3 x 4. The factors of 12 are thus 1, 2, 3, 4, 6, and 12.

## What is Prime Factorization?

Prime factorization is the process of finding a set of prime numbers that multiply to a given number. Prime numbers are those numbers that are only divisible by 1 and themselves. For instance, 2, 3, 5, 7, 11, 13, 17, 19… are prime numbers. In contrast, a composite number is a number that is not a prime number i.e. it has at least one factor other than 1 and itself.

### Prime Factorization of 44

To find the prime factorization of a number, we write the number as a product of prime numbers. We can find the prime factorization of 44 by dividing it by its smallest prime factor.

- 44 ÷ 2 = 22
- 22 ÷ 2 = 11

Therefore, the prime factorization of 44 is:

44 = 2 x 2 x 11

The prime factorization tells us that 44 can be expressed as a product of prime numbers i.e. 2 and 11. Thus, any number that is a factor of 44 must be a combination of these prime numbers.

## Conclusion

“What times what equals 44” is a simple multiplication equation that can be solved using different methods such as listing all factors, prime factorization or general multiplication technique. Additionally, we learned that we can solve problems involving negative numbers by remembering the rule that the product of two negative numbers is positive.

## Most Common Questions

**What is an equation?**— An equation is a mathematical statement that two expressions are equal, with at least one unknown value.**What is a multiplication equation?**— A multiplication equation is an equation that involves multiplying two or more numbers or variables.**What is prime factorization?**— Prime factorization is the process of finding a set of prime numbers that multiply to a given number.**What are the factors of 44?**— The factors of 44 are 1, 2, 4, 11, 22, and 44.**How to solve “What times what is equal to -44”?**— We can solve the equation by considering the factors of both 44 and -44.

## References

- “Mathematical equation – Wikipedia.”
*Wikipedia*, Wikimedia Foundation, 2021, https://en.wikipedia.org/wiki/Mathematical_equation. - “What is equation? | List of Mathematical formulae | Vedantu.”
*Vedantu*, Vedantu Innovations Pvt. Ltd, 2021, https://www.vedantu.com/definition/what-is-equation. - “Factor (mathematics) – Wikipedia.”
*Wikipedia*, Wikimedia Foundation, 2021, https://en.wikipedia.org/wiki/Factor_(mathematics). - “Prime factorization – Wikipedia.”
*Wikipedia*, Wikimedia Foundation, 2021, https://en.wikipedia.org/wiki/Prime_factorization.